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SUMMARY:Kristin Shaw (U. Oslo)
DTSTART:20210129T140000Z
DTEND:20210129T150000Z
DTSTAMP:20260423T035455Z
UID:LAGARTOS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/15/
 ">Real phase structures on tropical varieties</a>\nby Kristin Shaw (U. Osl
 o) as part of (LAGARTOS) Latin American Real and Tropical Geometry Seminar
 \n\n\nAbstract\nIn this talk\, I will propose a definition of real phase s
 tructures on\ntropical varieties. I’ll explain that when the tropical va
 riety is a\nmatroid fan\, specifying a real phase structure is cryptomorph
 ic to\nproviding an orientation of the underlying matroid.\n\nI’ll defin
 e the real part of a tropical variety with a real phase\nstructure. This d
 etermines a closed chain in an appropriate homology\ntheory. In the case w
 hen the tropical variety is non-singular\, the real\npart is a PL-manifold
 . Moreover\, for tropical manifolds equipped with\nreal phase structures w
 e can apply the same spectral sequence for\nhypersurfaces\, obtained by Re
 naudineau and myself\, and bound the Betti\nnumbers of the real part by th
 e dimensions of the tropical homology groups.\n\nThis is joint work in pro
 gress with Johannes Rau and Arthur Renaudineau.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/15/
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